Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 12/27 and 36/42

12/27 + 36/42 is 82/63.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 27 and 42 is 378

    Next, find the equivalent fraction of both fractional numbers with denominator 378
  2. For the 1st fraction, since 27 × 14 = 378,
    12/27 = 12 × 14/27 × 14 = 168/378
  3. Likewise, for the 2nd fraction, since 42 × 9 = 378,
    36/42 = 36 × 9/42 × 9 = 324/378
  4. Add the two like fractions:
    168/378 + 324/378 = 168 + 324/378 = 492/378
  5. 492/378 simplified gives 82/63
  6. So, 12/27 + 36/42 = 82/63
    In mixed form: 119/63

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad

Related:

© everydaycalculation.com